113681134944 has 288 divisors, whose sum is σ = 367832949120. Its totient is φ = 33052594176.

The previous prime is 113681134927. The next prime is 113681134949. The reversal of 113681134944 is 449431186311.

113681134944 is a `hidden beast` number, since 11 + 36 + 8 + 113 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113681134944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113681134949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5091934 + ... + 5114210.

It is an arithmetic number, because the mean of its divisors is an integer number (1277197740).

Almost surely, 2^113681134944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113681134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183916474560).

113681134944 is an abundant number, since it is smaller than the sum of its proper divisors (254151814176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113681134944 is a wasteful number, since it uses less digits than its factorization.

113681134944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22382 (or 22371 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 113681134944 in words is "one hundred thirteen billion, six hundred eighty-one million, one hundred thirty-four thousand, nine hundred forty-four".